Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold

DOI10.22199/issn.0717-6279-4818arXiv2101.00322OpenAlexW4375953348MaRDI QIDQ6138721

Brahim Moalige, Samir Kabbaj, Nizar El Idrissi

Publication date: 16 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00322

zbMATH Keywords

Stiefel manifoldtopological closurecontinuous framedense subsetpath-connected space

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Connected and locally connected spaces (general aspects) (54D05) Fairly general properties of topological spaces (54D99) Topology of infinite-dimensional manifolds (57N20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite frames. Theory and applications.
• Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations
• Geodesics in infinite dimensional Stiefel and Grassmann manifolds
• On the orthogonality of frames and the density and connectivity of wavelet frames
• The art of frame theory
• An introduction to finite tight frames
• Connectivity in the set of Gabor frames
• Density of Gabor frames
• Symplectic geometry and connectivity of spaces of frames
• Probability measures on infinite-dimensional Stiefel manifolds
• History and evolution of the density theorem for Gabor frames
• Connectivity and density in the set of framelets
• Density, overcompleteness, and localization of frames. II: Gabor systems
• Density, overcompleteness, and localization of frames. I: Theory
• Extremal curves on Stiefel and Grassmann manifolds
• Sphere-packing bounds in the Grassmann and Stiefel manifolds
• Painless nonorthogonal expansions
• The s-elementary wavelets are path-connected
• Connectivity in the set of Tight Frame Wavelets (TFW)
• Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

This page was built for publication: Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold